Four contact models including Hertz, Jamari, Jeng-Wang and Weng-Tang-Zhou-Zhu were considered. To verify the results of contact mechanics, the indentation depth has been compared with spherical geometry. According to the obtained results, by comparing the spherical and elliptical geometries, the indentation depth for spherical geometry is higher than for the ellipsoidal geometry, due to the existence of eccentricity in elliptical contact models which does not exist in spherical geometry. Among the models, the Jeng-Wang and Weng-Tang-Zhou-Zhu are models that are based on the contact of a particle with the substrate. Based on the existing experimental work, Jeng-Wang is the most suitable model for being applied in particle-substrate contact point. The Hertz model has been developed from crowned cylinder equations in order to be implemented for ellipsoidal geometry, moreover the Jamari model investigates two ellipses in contact with each other. By comparing Jeng-Wang and Weng-Tang-Zhou-Zhu models it is obvious that Jeng-Wang has the highest indentation depth while for the Weng-Tang-Zhou-Zhu model it is the lowest. These trends happen for two contact points. Also four materials are compared, among which graphite and chromium have the highest and the lowest indentation depths, respectively. Finally based on the obtained results Jeng-Wang and Jamari are the most suitable contact models that can be implemented in the manipulation of ellipsoidal nanoparticles.

考虑了四个接触模型，包括Hertz，Jamari，Jeng-Wang和Weng-Tang-Zhou-Zhu。为了验证接触力学的结果，已将压痕深度与球形几何体进行了比较。根据获得的结果，通过比较球形和椭圆形的几何形状，由于椭圆形接触模型中存在偏心，而球形几何中不存在偏心，因此球形几何形状的压痕深度大于椭圆形几何形状的压痕深度。在这些模型中，Jeng-Wang和Weng-Tang-Zhou-Zhu是基于粒子与基材接触的模型。根据现有的实验工作，Jeng-Wang是最适用于粒子-基底接触点的模型。Hertz模型是从冠状圆柱方程发展而来的，以实现椭圆几何形状，此外，Jamari模型研究了两个相互接触的椭圆。通过比较Jeng-Wang和Weng-Tang-Zhou-Zhu模型，很明显Jeng-Wang的压痕深度最高，而Weng-Tang-Zhou-Zhu模型的压痕深度最低。这些趋势发生在两个接触点上。还比较了四种材料，其中石墨和铬分别具有最高和最低的压痕深度。最后，根据获得的结果，Jeng-Wang和Jamari是最合适的接触模型，可以在椭圆形纳米粒子的处理中实现。通过比较Jeng-Wang和Weng-Tang-Zhou-Zhu模型，很明显Jeng-Wang的压痕深度最高，而Weng-Tang-Zhou-Zhu模型的压痕深度最低。这些趋势发生在两个接触点上。还比较了四种材料，其中石墨和铬分别具有最高和最低的压痕深度。最后，根据获得的结果，Jeng-Wang和Jamari是最合适的接触模型，可以在椭圆形纳米粒子的处理中实现。通过比较Jeng-Wang和Weng-Tang-Zhou-Zhu模型，很明显Jeng-Wang的压痕深度最高，而Weng-Tang-Zhou-Zhu模型的压痕深度最低。这些趋势发生在两个接触点上。还比较了四种材料，其中石墨和铬分别具有最高和最低的压痕深度。最后，根据获得的结果，Jeng-Wang和Jamari是最合适的接触模型，可以在椭圆形纳米粒子的处理中实现。